Answer: 1. y = 2(x + 4)² - 3
<u>Step-by-step explanation:</u>
Notes: The vertex form of a parabola is y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = 2 and (h, k) = (-4, -3) into the equation y = a(x - h)² + k
y = 2(x + 4)² - 3
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2)
Now input a = -1/3 and (h, k) = (-8, -7) into the equation y = a(x - h)² + k
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3)
The midpoint of the focus and directrix is the y-coordinate of the vertex:
The x-coordinate of the vertex is given in the focus as 7
(h, k) = (7, 1)
Now let's find the a-value:
Now input a = -1/2 and (h, k) = (7, 1) into the equation y = a(x - h)² + k
Answer:
What is it?
Step-by-step explanation:
To use distributive property, all you have to do is multiply the number in the parenthesis.
Example:
3(2x+4)
To solve this problem, first, you would have to multiply 3 and 2x. Your answer would be 6x. Next, you would have multiply 3 and 4. You would get 12. Finally, your expression would be 6x+12.
Answer:
79 degrees
Step-by-step explanation:
the 2 angles together make a 180 degree angle
This question is incomplete
Complete Question
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
Answer:
300 times
Step-by-step explanation:
From the above question, we are told:
The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.
We create a proportion
2 × 10^-1 mg of gold : 6 × 10^1 mg of aluminum
= 0.2 mg of gold : 60 mg of aluminum
Therefore, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body is calculated as:
60mg ÷ 0.2 mg
= 300
Therefore, the number of milligrams of aluminum in the body is 300 times the number of milligrams of gold in the body